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Question Number 178682 by MikeH last updated on 20/Oct/22

$$\mathrm{Corona}\mathrm{virus}(\mathrm{covid}-19)\mathrm{is}\mathrm{spreading}\mathrm{through}\mathrm{a}$$$$\mathrm{certain}\mathrm{country}.\mathrm{Let}\mathrm{the}\mathrm{constant}S\mathrm{be}\mathrm{the}\mathrm{number}$$$$\mathrm{of}\mathrm{people}\mathrm{susceptible}\mathrm{to}\mathrm{infection}.\mathrm{The}\mathrm{infection}\mathrm{rate}$$$$\mathrm{is}\mathrm{proportional}\mathrm{to}\mathrm{the}\mathrm{the}\mathrm{product}\mathrm{of}\mathrm{the}\mathrm{already}$$$$\mathrm{infected}\mathrm{people}\left(x\right)\mathrm{and}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{susceptible}\mathrm{but}$$$$\mathrm{but}\mathrm{uninfected}\mathrm{people}(S-x).\mathrm{establish}\mathrm{the}$$$$\mathrm{differential}\mathrm{equation}.$$

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